June 4 - A hunter-killer group of the United States Navy capture the German submarine U-505, marking the first time a U.S. Navy vessel had captured an enemy vessel at sea since the 19th century.
June 4 - Rome falls to the Allies. It is the first capital of an Axis nation to fall.
June 5 - More than 1000 British bombers drop 5000 tons of bombs on German gun batteries on the Normandy coast in preparation for D-Day.
June 6 - Battle of Normandy begins - Operation Overlord, code named D-Day, commences with the landing of 155,000 Allied troops on the beaches of Normandy in France. The allied soldiers quickly break through the Atlantic Wall and push inland in the largest amphibious military operation in history.
June 9 - Stalin launches an offensive against Finland with the intent of defeating Finland before pushing for Berlin.
May 30 - Princess Charlotte Louise Juliette Louvet Grimaldi of Monaco, heir to the throne resigns from her rights in favor of her son Prince Rainier Louis Henri Maxence Bertrand Grimaldi, later reigning Prince Rainier III of Monaco.